GCD of 208, 777, 872, 437 Calculator

Given Input numbers are 208, 777, 872, 437

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 208, 777, 872, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 777, 872, 437 is 1.

Therefore, GCD of numbers 208, 777, 872, 437 is 1

Given Input Data is 208, 777, 872, 437

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 437 is 19 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(208, 777) = 161616

GCD(208, 777) = ( 208 x 777 ) / 161616

GCD(208, 777) = 161616 / 161616

GCD(208, 777) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 437

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

GCD(1, 437) = 437 / 437

GCD(1, 437) = 1

GCD of 208, 777, 872, 437 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 973, 741, 466
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1. What is the GCD of 208, 777, 872, 437?

GCD of 208, 777, 872, 437 is 1

2. Where do I get the detailed procedure to find GCD of 208, 777, 872, 437?

You can find a detailed procedure to find GCD of 208, 777, 872, 437 on our page.

3. How to find GCD of 208, 777, 872, 437 on a calculator?

You can find the GCD of 208, 777, 872, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.